﻿ An experiment has 10 equally likely outcomes. Let A and B two non – empty events of the experiment. If a consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is : Kaysons Education

# An Experiment Has 10 Equally Likely Outcomes. Let A and B two Non – Empty Events Of The Experiment. If A Consists Of 4 Outcomes, The Number Of Outcomes That B must Have So That A and B are Independent, Is

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## Question

### Solution

Correct option is

5 or 10

Let nB and nA ∩ B denote the number outcomes favorable to B and A ∩ Brespectively.

As A and B are independent.

P(A ∩ B) = P(AP(B)

⇒ nB = 5 or 10.             [âˆµ 1 ≤ nB ≤ 10.]

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